Planning is underway for several space-borne gravitational wave observatoriesto be built in the next ten to twenty years. Realistic and efficient forwardmodeling will play a key role in the design and operation of theseobservatories. Space-borne interferometric gravitational wave detectors operatevery differently from their ground based counterparts. Complex orbital motion,virtual interferometry, and finite size effects complicate the description ofspace-based systems, while nonlinear control systems complicate the descriptionof ground based systems. Here we explore the forward modeling of space-basedgravitational wave detectors and introduce an adiabatic approximation to thedetector response that significantly extends the range of the standard lowfrequency approximation. The adiabatic approximation will aid in thedevelopment of data analysis techniques, and improve the modeling ofastrophysical parameter extraction.
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